Slope Intercept Form Word Problems

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What is the Slope-Intercept Form of a linear equation?

Back

Front

What does the slope represent in a linear equation?

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The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting value of the dependent variable.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Front

Write the equation for a situation where a person starts with 10 dollars and earns 5 dollars each week.

Back

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Back

The slope is 3, which means for every 1 unit increase in x, y increases by 3 units.

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Back

The y-intercept is 6, meaning when x is 0, y is 6.

Front

If a car uses 4 gallons of gas per hour and starts with 20 gallons, write the equation for the amount of gas left after x hours.

Back

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept often represents a starting value or initial condition in a real-world scenario.

Front

Write the equation for a situation where a person has 50 points and earns 10 points for each game played.

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